TORSION LINKING FORMS ON SURFACE-KNOTS AND EXACT 4-MANIFOLDS

TORSION LINKING FORMS ON SURFACE-KNOTS AND EXACT 4-MANIFOLDS
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表面结和精确 4 歧管上的扭转连接形式

DOI:
10.1142/9789812792679_0014
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发表时间:
2000
期刊:
--
影响因子:
--
通讯作者:
A. Kawauchi
A. Kawauchi
中科院分区:
--
文献类型:
--
作者:
A. Kawauchi

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我们把兴趣集中在曲面纽结的扭转连接上。它是一个纽结不变量,与表面纽结群及其周边子群无关。它等同于任意具有无限循环第一同调的闭4-流形的挠链。在这样一个具有正合叶的4-流形的情况下,叶的联结可以用它与双曲联结的正交和来确定。
We focus an interest on the torsion linking of a surface-knot. It is a knot invariant independent of the surface-knot group and its peripheral subgroup. It is identified with the torsion linking of any associated closed 4-manifold with infinite cyclic first homology. In the case of such a 4-manifold with an exact leaf, the linking of the leaf is identified with an orthogonal sum of it and a hyperbolic linking .
DOI: 10.18910/3812
发表时间: 1994-09
影响因子: 0.4
作者:
A. Kawauchi
通讯作者: A. Kawauchi